Geodesic
Weakly primitive superrings
Fundamentalʹnaâ i prikladnaâ matematika, Tome 10 (2004) no. 3, pp. 97-142.

Voir la notice de l'article provenant de la source Math-Net.Ru

Some results concerning compressible modules, primitive rings, and weakly primitive rings are obtained. Properties of analogous objects in the supercase are considered. The main result is the extended density theorem for superrings. In addition, rings and modules graded by a group are studied. 
@article{FPM_2004_10_3_a5,
     author = {S. V. Limarenko},
     title = {Weakly primitive superrings},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {97--142},
     publisher = {mathdoc},
     volume = {10},
     number = {3},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2004_10_3_a5/}
}
TY  - JOUR
AU  - S. V. Limarenko
TI  - Weakly primitive superrings
JO  - Fundamentalʹnaâ i prikladnaâ matematika
PY  - 2004
SP  - 97
EP  - 142
VL  - 10
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FPM_2004_10_3_a5/
LA  - ru
ID  - FPM_2004_10_3_a5
ER  - 
%0 Journal Article
%A S. V. Limarenko
%T Weakly primitive superrings
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 2004
%P 97-142
%V 10
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FPM_2004_10_3_a5/
%G ru
%F FPM_2004_10_3_a5
S. V. Limarenko. Weakly primitive superrings. Fundamentalʹnaâ i prikladnaâ matematika, Tome 10 (2004) no. 3, pp. 97-142. http://geodesic.mathdoc.fr/item/FPM_2004_10_3_a5/

[1] Balaba I. N., Zelenov S. V., Limarenko S. V., Mikhalev A. V., “Teoremy plotnosti dlya graduirovannykh kolets”, Fundam. i prikl. mat., 9:1 (2003), 27–49

[2] Dzhekobson N., Stroenie kolets, Izd. inostr. lit., M., 1961 | MR

[3] Zelenov S. V., “Teorema plotnosti Zelmanovicha v graduirovannom sluchae”, Uspekhi mat. nauk, 56:3 (2001), 167–168 | MR | Zbl

[4] Limarenko S. V., “Rasshirennaya teorema plotnosti dlya graduirovannykh po gruppe kolets i modulei”, Uspekhi mat. nauk, 57:4 (2002), 181–182 | MR | Zbl

[5] Limarenko S. V., “Koltsa s kriticheski szhimaemymi idealami”, Uspekhi mat. nauk, 58:2 (2003), 165–166 | MR | Zbl

[6] Limarenko S. V., “Szhimaemye moduli”, Vestn. Mosk. un-ta. Ser. 1, Matematika, mekhanika, 2005, no. 3 (to appear) | MR

[7] Amitsur S. A., “Rings of quotients and Morita context”, J. Algebra, 17 (1971), 273–298 | DOI | MR | Zbl

[8] Beidar K. I., Martindale W. S., III, Mikhalev A. V., Rings with Generalized Identities, Marcel Dekker, New York, 1996 | MR | Zbl

[9] Faith C., Lectures on Injective Modules and Quotient Rings, Lect. Notes Math., 49, Springer, Berlin, 1967 | MR

[10] Nǎstǎsescu C., Oystayen F. V., Graded and Filtered Rings and Modules, Lect. Notes Math., 758, Springer, Berlin, 1979 | MR

[11] Racine M. L., “Primitive superalgebras with superinvolution”, J. Algebra, 206 (1998), 588–614 | DOI | MR | Zbl

[12] Zelmanowitz J., “An extension of the Jacobson density theorem”, Bull. Amer. Math. Soc., 82:4 (1976), 551–553 | DOI | MR | Zbl

[13] Zelmanowitz J., “Weakly primitive rings”, Comm. Algebra, 9:1 (1981), 23–45 | DOI | MR | Zbl